A software company is selling a new game in a standard edition and a collector's edition the box of the standard edition has a volume of 20 cubic inches and the box for the collector's edition has a volume of 50 cubic inches 30 cubic inches the company received an order for 75 copies

The logarithmic function is the inverse of the exponential function. The logarithmic function that is equivalent to 2⁵ = 32 is log₂32=5.

A log function is a way to find how much a number must be raised in order to get the desired number.

[tex]\rm a^c=b[/tex] can be written as [tex]\rm log_ab=c[/tex].

where a is the base to which the power is to be raised,

b is the desired number that we want when power is to be raised,

c is the power that must be raised to a to get b.

Given to us

2⁵ = 32

As we know that we can convert a number powered to another number therefore exponential function into a log function, thus,

[tex]\rm 2^5=32\\\\log_25=5[/tex]

Hence, The logarithmic function is the inverse of the exponential function. The logarithmic function that is equivalent to 2⁵ = 32 is log₂32=5.

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Answer:

hello

they are

1 - 3 - 5 and  15

Step-by-step explanation:

The table is an illustration of a quadratic regression model

The function that best models the data is y = -60.4x^2 +348.1x -334.2

To determine the function that models the data, we make use of a graphing calculator.

Using the graphing calculator, we have the following calculation summary

a = -60.4

b = 348.1

c = -334.2

A quadratic regression model is represented as:

y = ax^2 + bx + c

So, we have:

y = -60.4x^2 +348.1x -334.2

Hence, the function that best models the data is y = -60.4x^2 +348.1x -334.2

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Answer: After 5 years it’ll cost  $90.767.

Step-by-step explanation:

Answer:

The length of the ladder is 10:44 meters.

Step-by-step explanation:

Base of the ladder is 3 meters away from the house. So base =3 m

one side 10 meters and base is 3 meters

Since a regular polygon has equal interior angles, then the measure of the angle marked x is: 132°.

A regular polygon is any n-sided polygon that has equal interior angles and equal sides.

Thus:

Therefore:

x = 360 - 120 - 108

x = 132°

Thus, since a regular polygon has equal interior angles, then the measure of the angle marked x is: 132°.

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well, from 800 to 600 is 200 bucks.

if we take 800 to be the 100%, what is 200 off of it in percentage?

[tex]\begin{array}{ccll} amount&\%\\ \cline{1-2} 800 & 100\\ 200& x \end{array} \implies \cfrac{800}{200}=\cfrac{100}{x}\implies 4=\cfrac{100}{x} \\\\\\ 4x=100\implies x=\cfrac{100}{4}\implies x=25[/tex]

Answer:

First choice

Step-by-step explanation:

Check if a relation is a function by looking at the x's.

No repeated x's? Then it's a function.

Repeated x's but the y is the same y both times? It's a function.

Repeated x's and different y's? NOT A FUNCTION.

see image

Answer:

Step-by-step explanation:

The best way to check a question like this one is to graph it. I've done that for you. The red line is the parent function; the blue line is parent shifted 4 units left.

Yes, you are right.

Answer:

C. 108

Step-by-step explanation: This is the correct answer on Edge 2021, just took the quiz and made a 100%. Hope this helps ^-^.

The value of 'x' is 108° . Option C

From the illustration,

Angle RQS is at Q = x degrees

Angles KLM is at L = x - 36 degrees

Note that they are corresponding angles

Corresponding angles sum up to 180°

Then equate both angles to 180 degrees

x + x - 36 = 180°

Collect like terms

2x = 180 + 36

2x = 216

Make 'x' subject of formula

x = 216 / 2

x = 108°

Therefore, the value of 'x' is 108° . Option C

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Answer:

18

Step-by-step explanation:

product of prime factors

9=3^2

18=2*3^2

LCM of 9 and 18 = 2*3^2

=18

Answer:

5x+6

Step-by-step explanation:

Im not sure if its 3*2 (like multiplying) or 3x times 2?

The sum of the balances of these accounts at the end of 5 years is given by: Option B: $53,901.59 (approx)

If the initial amount (also called as principal amount) is P, and the interest rate is R% per unit time, and it is left for T unit of time for that compound interest, then the interest amount earned is given by:

[tex]CI = P(1 +\dfrac{R}{100})^T - P[/tex]

The final amount becomes:

[tex]A = CI + P\\A = P(1 +\dfrac{R}{100})^T[/tex]

If the initial amount (also called as principal amount) is P, and the interest rate is R% annually, and it is left for T years for that simple interest, then the interest amount earned is given by:

[tex]I = \dfrac{P \times R \times T}{100}[/tex]

For the considered case, we're given that:

In first account, the final amount at the end of 5 years is evaluated as:

[tex]A = 24000(1 + \dfrac{2.4}{100})^4 = 24000(1.024)^4 \approx 27021.59\: \rm (in \: dollars)[/tex]

In second account,  the final amount at the end of 5 years is evaluated as:

[tex]A = 24000 + \dfrac{24000 \times 2.4 \times 5}{100} = 24000 + 2880 = 26880 \text{\: (in dollars)}[/tex]

Total amount after 5 years in these accounts = [tex]27021.59 + 26880 = 53901.59[/tex] (in dollars)

Thus, the sum of the balances of these accounts at the end of 5 years is given by: Option B: $53,901.59 (approx)

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Answer:

its not b

Step-by-step explanation:

its c 27160 we went over this with my teacher

Answer:

Step-by-step explanation:

focus of the parabola is (2,0) and directrix is x=-2. Here,a=2.So, Equation becomes, y2=4∗2x⇒y2=8x, which is the required equation of parabola.

The equation of a parabola with the given focus and directrix is x²-10x+74=14y.

A parabola refers to an equation of a curve, such that a point on the curve is equidistant from a fixed point, and a fixed line

Given that, a parabola has focus (5,7) and directrix y=0.

When the focus (h, k) of a parabola and the equation of the directrix y = c are given, the equation of the parabola is given by (x-h)²+k²-c²=2(k-c)y

Here, y=c=0

Now, (x-5)²+7²-0²=2(7-0)y

x²-10x+25+49=14y

x²-10x+74=14y

Therefore, the equation of a parabola is x²-10x+74=14y.

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Answer: 1/4

Step-by-step explanation:

slope = (y2 - y1) / (x2 - x1)

         = (6 - 5) / (5 - 1)

         = 1/4

Answer: 98 Degrees

Step-by-step explanation: A straight line is 180 degrees so, Take 180 minus 82 : 180 - 82 = 98 Degrees

Answer:

x = - 12, y = 9

Step-by-step explanation:

Given the 2 equations

3x + 6y = 18 → (1)

x + 3y = 15 → (2)

Multiplying (2) by - 3 and adding to (1) eliminates the term in x

- 3x - 9y = - 45 → (3)

Add (1) and (3) term by term to eliminate x

- 3y = - 27 ( divide both sides by - 3 )

y = 9

Substitute y = 9 into either of the 2 equations and evaluate for x

Substituting into (2)

x + 3(9) = 15

x + 27 = 15 ( subtract 27 from both sides )

x = - 12

Solution is (- 12, 9 )

Answer:

Step-by-step explanation:

f(-5) = -(-5) + 1

        = 5 +1

        = 6

Answer:

f(-5) = -(-5) + 1

       = 5 +1

       = 6

Step-by-step explanation:

can i maybe get branlyest i only have 1 one rn it would help

Answer:

112.50

Step-by-step explanation:

10% added 7.50 is 75

5% added to 7.50 is is 37.50

75+37.50= 112.50

Answer:

your answer would be B

Step-by-step explanation:

every item is 9 dollars divide the cost by the number of items it is always 9 meaning 9 is the constant. hope this helps.

Answer:

18  

To verify the constant you only have to verify every option by adding those options by itself and the one that matches your information is the correct answer

Answer:

The answer is C.9

Step-by-step explanation:

in order to fine the mean using number data you need to add all the number then divide by that much numbers. So for example 10+12+11+10+7+6+7 would equal 63. So since you have 7 numbers of data, you need to divide 7 and 63 (7÷63). 7÷63 equals 9. So therefore the answer is C.9.

Answer:

90

Step-by-step explanation:

Step 1:

2/5x + 10 = 30      Equation

Step 2:

2/5x = 20      Subtract 10 on both sides

Step 3:

x = 20 ÷ 2/5     Divide

Step 4:

x = 20 × 5/2     Multiply

Answer:

x = 90

Hope This Helps :)

Find the circumference and area of a circle with a radius of 11 inches.

Answer:

69.12

Answer: Correct answers are B, D,E

Step-by-step explanation:

Answer:

(b) What is the probability that exactly two of the three friends will sit next

to each other?

7E-10 You and two of your friends are in a group of 10 people. The group is

randomly split up into two groups of 5 people each. Specify an appropriate

sample space and determine the probability that you and your two friends

are in the same group.

7E-11 You are dealt a hand of four cards from a well-shuffled deck of 52

cards. Specify an appropriate sample space and determine the probability

that you receive the four cards J, Q, K, A in any order, with suit irrelevant.

7E-12 You draw at random five cards from a standard deck of 52 cards.

What is the probability that there is an ace among the five cards and a king

or queen?

7E-13 Three balls are randomly dropped into three boxes, where any ball is

equally likely to fall into each box. Specify an appropriate sample space and

determine the probability that exactly one box will be empty.

7E-14 An electronic system has four components labeled as 1, 2, 3, and 4.

The system has to be used during a given time period. The probability

that component i will fail during that time period is fi

for i = 1, . . . , 4.

Failures of the components are physically independent of each other. A

system failure occurs if component 1 fails or if at least two of the other

components fail. Specify an appropriate sample space and determine the

probability of a system failure.

7E-15 The Manhattan distance of a point (x, y) in the plane to the origin

(0, 0) is defined as |x| + |y|. You choose at random a point in the unit square

{(x, y) : 0 ≤ x, y ≤ 1}. What is the probability that the Manhattan distance

of this point to the point (0, 0) is no more than a for 0 ≤ a ≤ 2?

7E-16 You choose at random a point inside a rectangle whose sides have the

lengths 2 and 3. What is the probability that the distance of the point to the

closest side of the rectangle is no more than a given value a with 0 < a < 1?

7E-17 Pete tosses n + 1 fair coins and John tosses n fair coins. What is the

probability that Pete gets more heads than John? Answer this question first

for the cases n = 1 and n = 2 before solving the general case.

7E-18 Bill and Mark take turns picking a ball at random from a bag con-

taining four red balls and seven white balls. The balls are drawn out of the

bag without replacement and Mark is the first person to start. What is the

probability that Bill is the first person to pick a red ball?

3

Answer:

Step-by-step explanation:

1- Distribute

2-Combine like terms

3. divide on both sides

4- subtract from both sides

Answer:

i am so srry but i dont know but good luck

Step-by-step explanation: